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AP EAMCET · PHYSICS · Electrostatics

A large charged plane having surface charge density \(4.9 \times 10^{-6} \mathrm{C} \mathrm{m}^{-2}\) lies in the \(\mathrm{x}-\mathrm{y}\) plane. A circular plane of radius of \(1 \mathrm{~cm}\) is lying completely in the region where \(\mathrm{x}, \mathrm{y}\) and \(\mathrm{z}\) coordinates are all positive. When the plane's normal makes an angle \(60^{\circ}\) with the z-axis, the electric flux through the circular plane is \(\left(\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 \mathrm{Nm}^2 \mathrm{C}^{-2}\right)\)

  1. A \(43.56 \mathrm{~N} \mathrm{~m}^2 \mathrm{C}^{-1}\)
  2. B \(48.36 \mathrm{~N} \mathrm{~m}^2 \mathrm{C}^{-1}\)
  3. C \(36.76 \mathrm{~N} \mathrm{~m}^2 \mathrm{C}^{-1}\)
  4. D \(32.56 \mathrm{~N} \mathrm{~m}^2 \mathrm{C}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(43.56 \mathrm{~N} \mathrm{~m}^2 \mathrm{C}^{-1}\)

Step-by-step Solution

Detailed explanation

\(\phi=\overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{A}}\)…
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